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Fundamental statistical principles for the neurobiologist : a survival guide / Stephen W. Scheff, University of Kentucky Sanders-Brown Center on Aging, Lexington, KY, USA. -- Amsterdam : Academic Press is an imprint of Elsevier, c2016. – (59.591057/S316)

Contents

Preface

About the Author

1. Elements of Experimentation

Reason for Investigation

What to Test

Levels and Outcome Measures

Site Preparation and Controls

Troublesome Variables

What Do You Do First When You Want to Run an Experiment

Types of Experimental Design

Summary

References

2. Experimental Design and Hypothesis

Hypothesis--Asking the Right Research Question

Null Hypothesis (Ho) and Alternative Hypothesis (HA)

What is Probability Anyway?

Statistical Significance

What is a Significant Experiment?

One-Tailed versus Two-Tailed Tests

Bias

Summary

References

3. Statistic Essentials

Types of Data

Nominal Data

Ordinal Data

Interval Data

Ratio Data

Discrete and Continuous Data

Measures of Central Tendency

Variance

Standard Deviation

Standard Error of the Mean

Confidence Interval

Statistical Myth Concerning Confidence Intervals

What is Meant by "Effect Size"?

What is a Z Score ?

Degrees of Freedom

Why n-l?

Summary

References

4. Graphing Data

How to Graph Data

Box and Whisker Plots

Scatter Plots

Alternative Graphing Procedures

Indicating Significance on a Graph

Summary

5. Correlation and Regression

Correlation

Pearson's Product-Moment Correlation Coefficient

Spearman's Rank Coefficient and Kendall's Tau

Regression (Least Squares Method)

Summary

Reference

6. One-Way Analysis of Variance

Analysis of Variance

Student's t-Test

Comparing Three or More Independent Groups

Completely Randomized One-Way ANOVA

Partitioned Variance

Reporting ANOVA Results

Homogeneity of Variance

Multiple Comparisons

Multiple t-Tests

False Discovery Rate

Common Post Hoc Tests

How to Choose Which MCP (Post Hoc) to Employ after an ANOVA

One-Way Repeated Measures (Within-Subject) Analysis of Variance

Sphericity

Summary

References

7. Two-Way Analysis of Variance

Concept of Interaction

Difference between One-Way and Two-Way Analysis of Variance

Interpreting a Two-Way Analysis of Variance

Two-Way Repeated Measure Analysis of Variance

Summary

8. Nonparametric Statistics

Sign Test

Wilcoxon Matched Pairs Signed Rank Test (Wilcoxon Signed Rank Test)

Median Test

Wilcoxon Rank Sum Test (Mann-Whitney U Test)

Kolmogorov-Smimov Two-Sample Test

Chi-Square

Fisher's Exact Test

Kruskal-Wallis One-Way Analysis of Variance

Friedman One-Way Repeated Measure Analysis of Variance by Ranks

Spearman's Rank Order Correlation

Kendall Rank Order Correlation Coefficient

Nonparametric and Distribution-Free Are Not Really the Same

Summary

References

9. Outliers and Missing Data

Reasons for Outliers

Removing Outliers

Missing Data

Summary

References

10. Statistic Extras

Statistics Speak

How to Read Statistical Equations

Important Statistical Symbols

Index